8(x-1)=-2(x-41)

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Solution for 8(x-1)=-2(x-41) equation:


Simplifying
8(x + -1) = -2(x + -41)

Reorder the terms:
8(-1 + x) = -2(x + -41)
(-1 * 8 + x * 8) = -2(x + -41)
(-8 + 8x) = -2(x + -41)

Reorder the terms:
-8 + 8x = -2(-41 + x)
-8 + 8x = (-41 * -2 + x * -2)
-8 + 8x = (82 + -2x)

Solving
-8 + 8x = 82 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-8 + 8x + 2x = 82 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-8 + 10x = 82 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 10x = 82 + 0
-8 + 10x = 82

Add '8' to each side of the equation.
-8 + 8 + 10x = 82 + 8

Combine like terms: -8 + 8 = 0
0 + 10x = 82 + 8
10x = 82 + 8

Combine like terms: 82 + 8 = 90
10x = 90

Divide each side by '10'.
x = 9

Simplifying
x = 9

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